Evaluate
\frac{m}{9}+\frac{n}{12}
Factor
\frac{4m+3n}{36}
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\frac{4m}{36}+\frac{3n}{36}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 9 and 12 is 36. Multiply \frac{m}{9} times \frac{4}{4}. Multiply \frac{n}{12} times \frac{3}{3}.
\frac{4m+3n}{36}
Since \frac{4m}{36} and \frac{3n}{36} have the same denominator, add them by adding their numerators.
\frac{4m+3n}{36}
Factor out \frac{1}{36}.
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